Now how many groups can you have in a system?
How many groups are supported and what the purpose is of each group, is defined by the device, per device.
I'd say typically the devices that support associations would use at least group 1. If they have multiple buttons, multi-click features, etc., there would be multiple groups.
The LTM-5 supports a single group, group 1.
Without setting up a scene, does Vera 'track it'?